Results 211 to 220 of about 7,869 (262)

Generalized Monotone Affine Maps

SIAM Journal on Matrix Analysis and Applications, 1996
Summary: We derive new necessary and sufficient conditions for an affine map to be quasimonotone on a convex set.
Jean-Pierre Crouzeix, Siegfried Schaible
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Generalized Monotonicity of Subdifferentials and Generalized Convexity

Journal of Optimization Theory and Applications, 1997
A function \(f:X\to {\mathbb{R}}\) defined on a Banach space \(X\) is said to be quasiconvex if \[ \forall x,y\in X, \forall t\in [0,1]: f(x+t(y-x)) \leq \max \{f(x),f(y)\} . \] Given a notion of subdifferential \(\partial f\), the authors provide characterizations of the convexity and quasiconvexity of \(f\) in terms of the monotonicity and ...
Penot, J. P., Sach, P. H.
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Generalized Invexity and Generalized Invariant Monotonicity

Journal of Optimization Theory and Applications, 2003
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Yang, X. M., Yang, X. Q., Teo, K. L.
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Characterizations of generalized monotone maps

Journal of Optimization Theory and Applications, 1993
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Karamardian, S., Schaible, S., Crouzeix, J. P.   +2 more
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Colorings generated by monotone properties

Random Structures and Algorithms, 1998
Let \(Q\) be some graph property and let \(G\) with \(| V_G| =n\) be a graph satisfying the property \(Q\). Color the edges of \(G\) black and color an edge \(e\) of the complement of \(G\) red if \(G+e\) satisfies the property \(Q\) and blue otherwise.
Béla Bollobás, Oliver Riordan
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Generalized monotonically T2 spaces

Acta Mathematica Hungarica, 2020
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Criteria for generalized invex monotonicities

European Journal of Operational Research, 2005
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Xinmin Yang 0001, X. Q. Yang, Kok Lay Teo   +2 more
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Generalized global monotonicity of generalized derivatives

International Transactions in Operational Research, 1994
The gradient and the several kinds of its generalizations provide a very efficient tool in characterizing important properties of functions. Convexity and generalized convexity, which are central properties in many branches of Operational Research, can also be characterized by special properties (monotonicity and generalized monotonicity) of the ...
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Limitwise Monotonic Spectra and Their Generalizations

2021
The current work studies the limitwise monotonic spectra introduced by Downey, Kach and Turetsky [6]. In the first part of the paper, we study the limitwise monotonic spectra of subsets and sequences of subsets of \(\mathbb N\). In particular, we study their measure-theoretical and topological properties.
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Monotonicity of the Generalized Reduced Module

Journal of Mathematical Sciences, 2003
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